Results 51 to 60 of about 704 (85)
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this study, we introduce a novel class of mappings called orthogonal extended interpolative enriched Ćirić–Reich–Rus type ψF‐contractions and establish fixed‐point results within the framework of orthogonal complete convex extended b‐metric spaces. The unique fixed point is approximated using a Krasnoselskii‐type iterative method. To demonstrate the
Shivani Kukreti +4 more
wiley +1 more source
Orthogonal Stability of an Additive-Quadratic Functional Equation
Fixed Point Theory and Applications, 2011 Using the fixed point method and using the direct method, we prove the Hyers-Ulam stability of an orthogonally additive-quadratic functional equation in orthogonality spaces. (2010) Mathematics Subject Classification: Primary 39B55; 47H10; 39B52; 46H25.
Park Choonkil
doaj
On Almost (α, θρ)‐Contractions on Quasimetric Space and Their Fixed Points
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, we introduce the concept of almost (α, θρ)‐contraction mappings on quasimetric spaces. Then, under certain conditions, we present some fixed‐point results for almost (α, θρ)‐contraction mappings with respect to ω and γ on both left K‐complete and left M‐complete quasimetric spaces.
Gonca Durmaz Güngör +4 more
wiley +1 more source
Fixed Point Theory and Applications, 2011 In this article, we establish coincidence point and common fixed point theorems for mappings satisfying a contractive inequality which involves two generalized altering distance functions in ordered complete metric spaces.
Samet Bessem, Kim Jong, Nashine Hemant
doaj
A Fixed Point in Partial Sb-Metric Spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this paper, we introduce an interesting extention of the partial b-metric spaces called partial Sb-metric spaces, and we show the existence of fixed point for a self mapping defined on such spaces.
Souayah Nizar
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Interpolative Rus-Reich-Ćirić Type Contractions via Simulation Functions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, we introduce the notion of interpolative Rus-Reich-Ćirić type 𝒵- contractions in the setting of complete metric space. We also consider some immediate consequences of our main results.
Karapınar Erdal, Agarwal Ravi P.
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Mixed monotone-generalized contractions in partially ordered probabilistic metric spaces
Fixed Point Theory and Applications, 2011 In this article, a new concept of mixed monotone-generalized contraction in partially ordered probabilistic metric spaces is introduced, and some coupled coincidence and coupled fixed point theorems are proved.
Agarwal Ravi +2 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 The aim of this paper is to introduce Ciric-Suzuki type quasi-contractive multivalued operators and to obtain the existence of fixed points of such mappings in the framework of b-metric spaces.
Alolaiyan Hanan +2 more
doaj +1 more source
Revisiting of some outstanding metric fixed point theorems via E-contraction
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 In this paper, we introduce the notion of α-ψ-contractive mapping of type E, to remedy of the weakness of the existing contraction mappings. We investigate the existence and uniqueness of a fixed point of such mappings.
Fulga Andreea, Karapınar Erdal
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Orthogonal stability of the generalized quadratic functional equations in the sense of Rätz
Demonstratio Mathematica, 2019 Let (X, ⊥) be an orthogonality module in the sense of Rätz over a unital Banach algebra A and Y be a real Banach module over A. In this paper, we apply the alternative fixed point theorem for proving the Hyers-Ulam stability of the orthogonally ...
Aiemsomboon Laddawan +1 more
doaj +1 more source